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Finding the Fourth Proportional to 647,745.21, 971,616.29 and 174,430.98

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Solution

The fourth proportional to 647,745.21, 971,616.29 and 174,430.98 is: 261,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,745.21 : 971,616.29 = 174,430.98 : x
  2. Step 2: Convert to fraction form
    647,745.21/971,616.29 = 174,430.98/x
  3. Step 3: Cross multiply
    647,745.21x = 971,616.29 × 174,430.98
  4. Step 4: Simplify right side
    647,745.21x = 169,479,980,776.51
  5. Step 5: Solve for x
    x = 169,479,980,776.51/647,745.21
  6. Step 6: Final answer
    x = 261,646.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.